标题：Differential quadrature method of nonlinear bending of functionally graded beam
作者：Xu Gangnian; Ma Liansheng; Wang Youzhi; Yuan Quan; You Weijie
作者机构：[Xu Gangnian; Wang Youzhi; Yuan Quan; You Weijie] Shandong Univ, Sch Civil Engn, Jinan 250061, Shandong, Peoples R China.; [Ma Liansheng] Lanzhou Un 更多
会议名称：International Conference on Mechanical Engineering and Applied Composite Materials (MEACM)
会议日期：NOV 23-24, 2017
来源：INTERNATIONAL CONFERENCE ON MECHANICAL ENGINEERING AND APPLIED COMPOSITE MATERIALS
摘要：Using the third-order shear deflection beam theory (TBT), nonlinear bending of functionally graded (FG) beams composed with various amounts of ceramic and metal is analyzed utilizing the differential quadrature method (DQM). The properties of beam material are supposed to accord with the power law index along to thickness. First, according to the principle of stationary potential energy, the partial differential control formulae of the FG beams subjected to a distributed lateral force are derived. To obtain numerical results of the nonlinear bending, non-dimensional boundary conditions and control formulae are dispersed by applying the DQM. To verify the present solution, several examples are analyzed for nonlinear bending of homogeneous beams with various edges. A minute parametric research is in progress about the effect of the law index, transverse shear deformation, distributed lateral force and boundary conditions.